Find the LCM of 941, 494, 758, 114, 740 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 941, 494, 758, 114, 740. So, keep reading to learn more.
Given numbers are 941,494,758,114,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,494,758,114,740 is 195559429260.
Find LCM of 941,494,758,114,740 with Prime Factorization
2 | 941, 494, 758, 114, 740 |
19 | 941, 247, 379, 57, 370 |
941, 13, 379, 3, 370 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 941 x 13 x 379 x 3 x 370 = 195559429260
Therefore, the lowest common multiple of 941,494,758,114,740 is 195559429260.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
941 x 494 x 758 x 114 x 740 = 29725033247520
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
941 : 1, 941
494 : 1, 2, 13, 19, 26, 38, 247, 494
758 : 1, 2, 379, 758
114 : 1, 2, 3, 6, 19, 38, 57, 114
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,494,758,114,740, is 1.
Now, the common factors can be found like this.
941:941
494:2x 13x 19
758:2x 379
114:2x 3x 19
740:2x 2x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 19 = 152
Therefore, the value for common factors is 152.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 29725033247520/(1x152)
LCM = 29725033247520/152
LCM = 195559429260
Thus, we can understand that the LCM of 941,494,758,114,740 is 195559429260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 941, 494, 758, 114, 740?
Answer: LCM of 941, 494, 758, 114, 740 is 195559429260.
2. How to calculate the LCM of 941, 494, 758, 114, 740?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 941, 494, 758, 114, 740.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.